Which of the following gives the distance between the points and in the Cartesian plane?

MATHEMATICS · Single correct · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Which of the following gives the distance between the points P(x1,y1)P(x_1, y_1) and Q(x2,y2)Q(x_2, y_2) in the Cartesian plane? (a) ∣x2−x1∣+∣y2−y1∣|x_2 - x_1| + |y_2 - y_1| (b) (x2−x1)2+(y2−y1)22\sqrt{\dfrac{(x_2 - x_1)^2 + (y_2 - y_1)^2}{2}} (c) (x2−x1)2+(y2−y1)2\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} (d) (x2−x1)2+(y2−y1)2(x_2 - x_1)^2 + (y_2 - y_1)^2

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